On the existence of group inverses of Peirce corner matrices

DOI10.1016/j.laa.2019.07.033zbMath1425.15005arXiv1811.06555OpenAlexW2965890754MaRDI QIDQ2332398

Dijana Mosić, Daochang Zhang, Tin-Yau Tam

Publication date: 4 November 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06555

zbMATH Keywords

Drazin inversegroup inversegeneralized Schur complementPeirce corner matrix

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Algebraic systems of matrices (15A30)

Related Items

A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces, Characterizations of the group invertibility of a matrix revisited, Exact expressions for the Drazin inverse of anti-triangular matrices, Weighted weak group inverse for Hilbert space operators, New representations and properties of the \(m\)-weak group inverse, On the Drazin inverse of anti-triangular block matrices, The Drazin inverse of anti-triangular block matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some results on the Drazin inverse of a modified matrix
• A generalization of the Sherman-Morrison-Woodbury formula
• A revisitation of formulae for the Moore-Penrose inverse of modified matrices.
• Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero
• Power bounded and exponentially bounded matrices.
• The weighted Moore-Penrose inverse of modified matrices
• The Drazin inverse of a modified matrix
• Generalized inverses. Theory and applications.
• On deriving the Drazin inverse of a modified matrix
• Some representations for the Drazin inverse of a modified matrix
• Representations for the weighted Drazin inverse of a modified matrix
• Block representations of the Drazin inverse of a bipartite matrix
• The Drazln inverse and systems of second order linear differential equations
• Updating the Inverse of a Matrix
• Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
• The Index and the Drazin Inverse of Block Triangular Matrices
• Representations for the Drazin inverse of a modified matrix
• Representations for the Drazin Inverse of a 2 x 2 Block Matrix
• Generalized Inversion of Modified Matrices
• Group inverse of modified matrices over an arbitrary ring
• Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
• Some additive results on Drazin inverse